| Base | Representation |
|---|---|
| bin | 1001110110010… |
| … | …00101111001000 |
| 3 | 12202110002012000 |
| 4 | 10323020233020 |
| 5 | 132122024034 |
| 6 | 12110351000 |
| 7 | 2022116550 |
| oct | 473105710 |
| 9 | 182402160 |
| 10 | 82611144 |
| 11 | 426a4a80 |
| 12 | 237bb460 |
| 13 | 14165a45 |
| 14 | ad86160 |
| 15 | 73bc599 |
| hex | 4ec8bc8 |
82611144 has 128 divisors (see below), whose sum is σ = 286156800. Its totient is φ = 21453120.
The previous prime is 82611131. The next prime is 82611149. The reversal of 82611144 is 44111628.
It is a happy number.
82611144 is a `hidden beast` number, since 8 + 2 + 611 + 1 + 44 = 666.
It is a super-2 number, since 2×826111442 = 13649202225977472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (82611149) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14149 + ... + 19115.
It is an arithmetic number, because the mean of its divisors is an integer number (2235600).
Almost surely, 282611144 is an apocalyptic number.
82611144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 82611144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143078400).
82611144 is an abundant number, since it is smaller than the sum of its proper divisors (203545656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82611144 is a wasteful number, since it uses less digits than its factorization.
82611144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5000 (or 4990 counting only the distinct ones).
The product of its digits is 1536, while the sum is 27.
The square root of 82611144 is about 9089.0672788796. The cubic root of 82611144 is about 435.5247887510.
The spelling of 82611144 in words is "eighty-two million, six hundred eleven thousand, one hundred forty-four".
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